Details

sample56.0ms

Algorithm

intervals

Results

28.0ms	735×	body	80	nan
11.0ms	256×	body	80	valid

simplify10.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	13
1	12	13
2	16	13
3	18	13
done	18	13

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (- 1.0 (* x x)))
0.0b	(log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))
0.0b	(+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))
0.0b	(- 1.0 (* x x))

rewrite342.0ms

Algorithm

rewrite-expression-head

Rules

35×	`*-un-lft-identity`
22×	`add-sqr-sqrt`
21×	`times-frac`
19×	`add-cube-cbrt`
13×	`fma-def`
8×	`log-prod` `distribute-lft-out` `add-log-exp`
6×	`pow1`
5×	`add-exp-log` `div-inv`
4×	`expm1-log1p-u` `sqrt-prod` `add-cbrt-cube` `log1p-expm1-u`
3×	`log-div` `fma-neg` `prod-diff`
2×	`distribute-rgt-out` `flip3--` `flip3-+` `sqrt-div` `frac-add` `flip--` `flip-+` `difference-of-squares`
1×	`+-commutative` `sub-neg` `rem-sqrt-square` `sqrt-pow1` `pow1/2` `diff-log` `rem-log-exp` `sum-log` `log-pow`

Counts

4 → 93

Calls

4 calls:

8.0ms	(sqrt (- 1.0 (* x x)))
283.0ms	(log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))
41.0ms	(+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))
6.0ms	(- 1.0 (* x x))

series654.0ms

Counts

4 → 12

Calls

4 calls:

79.0ms	(sqrt (- 1.0 (* x x)))
397.0ms	(log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))
132.0ms	(+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))
46.0ms	(- 1.0 (* x x))

simplify1.0s

Counts

105 → 105

Iterations

Useful iterations: done (1.0s)

Iter	Nodes	Cost
0	199	1448
1	468	1370
2	1342	1229
done	5000	1212

prune377.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (- 1.0 (* x x)))
0.1b	(sqrt (log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))))
0.1b	(sqrt (log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))))
0.5b	(* (sqrt (log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))) (sqrt (log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))))

rewrite233.0ms

Algorithm

rewrite-expression-head

Rules

38×	`sqrt-prod`
31×	`add-sqr-sqrt`
30×	`pow1`
17×	`*-un-lft-identity`
15×	`add-cube-cbrt`
11×	`sqrt-pow1` `pow1/2` `swap-sqr`
8×	`log-pow`
7×	`associate-r` `associate-l`
6×	`add-exp-log` `add-cbrt-cube`
5×	`pow-prod-up`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`rem-sqrt-square` `pow-prod-down` `pow-sqr`
2×	`sqrt-div`
1×	`pow2` `flip3--` `pow-plus` `sqrt-unprod` `prod-exp` `rem-square-sqrt` `*-commutative` `flip--` `cbrt-unprod` `difference-of-squares`

Counts

4 → 106

Calls

4 calls:

12.0ms	(sqrt (- 1.0 (* x x)))
90.0ms	(sqrt (log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))))
97.0ms	(sqrt (log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))))
30.0ms	(* (sqrt (log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))) (sqrt (log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))))

series1.3s

Counts

4 → 12

Calls

4 calls:

68.0ms	(sqrt (- 1.0 (* x x)))
439.0ms	(sqrt (log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))))
446.0ms	(sqrt (log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))))
390.0ms	(* (sqrt (log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))) (sqrt (log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))))

simplify1.1s

Counts

118 → 118

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	202	3256
1	476	2355
2	1521	2119
done	5000	2005

prune340.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes155.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	13
1	10	13
done	10	13

end0.0ms

sample3.4s

Algorithm

intervals

Results

1.6s	23928×	body	80	nan
1.3s	8000×	body	80	valid